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koban [17]
4 years ago
5

implicit differentiation y^2 +4xy +x^2 = 13... i need to know how the 4xy gets differentiated with product rule

English
1 answer:
Leokris [45]4 years ago
8 0
<span><span>y^2 </span>+ 4xy + <span>x^2 </span>= 13

</span> <span><span>f^2</span>(x) + 4x f(x) + <span>x^2 </span>= 13

</span> <span>2f(x)<span>f′</span>(x)+4(f(x)+x<span>f′</span>(x))+2x=0

</span> more easiliy written as

<span><span>2y<span>y′</span>=4(y+x<span>y′</span>)+2x=0</span></span>
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